{
  "abstract": "Nonlinear complexity is a fundamental criterion in the evaluation of pseudorandom sequences. The construction of multi-sequences with high nonlinear complexity is both theoretically and practically important in cryptography. Motivated by prior constructions of multi-sequences with high nonlinear complexity in [IEEE Trans. Inf. Theory, 60(10), 2014] and [IEEE Trans. Inf. Theory, 63(12), 2017], we provide a unified framework via narrow ray class fields and the cyclic descent introduced by Guruswami and Xing in [J. Combin. Theory Ser. A 129 (2015) ]. Then we can generate new multi-sequences with high nonlinear complexity over function fields with arbitrary genera.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10369",
  "author_total": 3,
  "authors": [
    {
      "name": "Xiaofeng Liu"
    },
    {
      "name": "Jun Zhang"
    },
    {
      "name": "Fang-Wei Fu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1rvbz7z650nh5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10369",
  "fulltext_url": null,
  "id": "1rvbz7z650nh5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10369",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1702|Coding theory and cryptography"
    ]
  ],
  "openalex": "W7212130267",
  "pdf_url": "https://arxiv.org/pdf/2609.10369",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1rvbz7z650nh5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.10369",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10369"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Construction of Multi-sequences With High Nonlinear Complexity via Narrow Ray Class Fields",
  "title_text": "Construction of Multi-sequences With High Nonlinear Complexity via Narrow Ray Class Fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/1rvbz7z650nh5",
  "venue": "arXiv",
  "versions": []
}